SOLUTION: I am currently working on the question (8x)^(-1/2) = 1/4. The answer that I keep getting is that it is 4/3. This is an example of what I have been doing.
2^(3x(-1/2)) = 4^(-1)
2
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-> SOLUTION: I am currently working on the question (8x)^(-1/2) = 1/4. The answer that I keep getting is that it is 4/3. This is an example of what I have been doing.
2^(3x(-1/2)) = 4^(-1)
2
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Question 247433: I am currently working on the question (8x)^(-1/2) = 1/4. The answer that I keep getting is that it is 4/3. This is an example of what I have been doing.
2^(3x(-1/2)) = 4^(-1)
2^(-3x/2) = 2^(-2).
-3x/2 = -4
x = 4/3
Could you please let me know where I am going wrong? The answer says that it is 2, but I'd really like to know how I'm going wrong. Thank you for your time,
Robyn Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! (8x)^(-1/2) = 1/4. The answer that I keep getting is that it is 4/3. This is an example of what I have been doing.
2^(3x(-1/2)) = 4^(-1) ** 2^3*x^(-1/2) ..... You included the x
2^(-3x/2) = 2^(-2).
-3x/2 = -4 **** The exponents are equal, so -3x/2 = -2
x = 4/3
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Do it like this:
(8x)^(-1/2) = 1/4
Multiply thru by (8x)^1/2
1 = sqrt(8x)/4
sqrt(8x) = 4
Square both sides
8x = 16
x = 2
